If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?
A
U = {-1 < x < 9}
B
U = {0 < x < 9}
C
U = {1 < x < 9}
D
U = {1 < x < 10}
E
{2 < x < 10}
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
a = {x : 1 < x < 9}: a = {2, 3, 4, 5, 6, 7, 8}
b = {x : 0 < x < 9}: b = {1, 2, 3, 4, 5, 6, 7, 8}
C = {x : 2 < x < 9}; c = {3, 4, 5, 6, 7, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8} = {0 < x < 9}.
Source: Myschool Past Questions Archive (Record #42442)